Cindy is designing a rectangular fountain in the middle of a

Cindy is designing a rectangular fountain in the middle of a courtyard. The rest of the courtyard will be covered in stone. The part of the courtyard that will be covered in stone has an area of 246 square feet. a. What is the width of the fountain? b. What fraction of the area of the courtyard will be occupied by the fountain?

Solution

The area of a rectangle is length * width. The area of the rectangular courtyard is 22* 12 = 264 sq. ft. The area of the cortyard covered by stone is 246 sq. ft. so that, the area of the rectangular fountain is 264 - 246 = 18 sq. ft. Since, the length of the fountain is 6 ft., its width is 18/6 = 3 ft. The fraction of the area of the courtyard, ocuupied by the fountain, is 18/264 = 3/44.